Here's another chant that originated in the 70's. The tune used was from the chorus of a song by STEAM called "Na na hey hey kiss him goodbye", which was in the charts in Dec 1969 / Jan 1970.
The chant is as simple as it gets, with a few variations to the ending. At Dens for example, after the "na na hey hey" part, we used to sing "Dundee FC" at the end of it. Or if a player was having a good game ( or scored ), we'd sing "Gordon Wallace" say, at the end.
For this little karaoke demonstration below, I've used Jocky Scott for you to sing along to, using the original pop tune.